53813792484 has 135 divisors (see below), whose sum is σ = 145755788815. Its totient is φ = 16739532480.

The previous prime is 53813792471. The next prime is 53813792491. The reversal of 53813792484 is 48429731835.

It is a happy number.

The square root of 53813792484 is 231978.

It is a perfect power (a square), and thus also a powerful number.

53813792484 is a `hidden beast` number, since 53 + 81 + 37 + 9 + 2 + 484 = 666.

53813792484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43941382884 + 9872409600 = 209622^2 + 99360^2 .

It is a super-2 number, since 2×53813792484² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53813792484.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1312531504 + ... + 1312531544.

Almost surely, 2^53813792484 is an apocalyptic number.

53813792484 is the 231978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53813792484

53813792484 is an abundant number, since it is smaller than the sum of its proper divisors (91941996331).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53813792484 is an frugal number, since it uses more digits than its factorization.

53813792484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 69 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 53813792484 in words is "fifty-three billion, eight hundred thirteen million, seven hundred ninety-two thousand, four hundred eighty-four".